Sobre la inyectividad en espacios euclidianos
We describe some classical results on global injectivity of local dieomorphism on Euclidian spaces. This is not exhaustive, and it does not purport to be a complete history, it simply describes some useful results in injectivity. The first part describes some results related to the Qualitative Theor...
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2013 |
| País: | Perú |
| Institución: | Pontificia Universidad Católica del Perú |
| Repositorio: | PUCP-Institucional |
| Idioma: | español |
| OAI Identifier: | oai:repositorio.pucp.edu.pe:20.500.14657/97323 |
| Acceso en línea: | http://revistas.pucp.edu.pe/index.php/promathematica/article/view/10407/10857 |
| Access Level: | acceso abierto |
| Palabra clave: | Global Injectivity Palais-Smale Condition Isochronous Center Inyectividad Global Condicion de Palais-Smale Centro Isócrono https://purl.org/pe-repo/ocde/ford#1.01.00 |
| Sumario: | We describe some classical results on global injectivity of local dieomorphism on Euclidian spaces. This is not exhaustive, and it does not purport to be a complete history, it simply describes some useful results in injectivity. The first part describes some results related to the Qualitative Theory of Diferential Equations, and presents a characterization of global injectivity on planar applications by using the existence of an isochronous global center. The Global Asymptotic Stability Problem is also described. The second part describes the so called Palais-Smale condition. |
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